7.5 is what percent of 4998 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 4998 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 4998, so we can write it down as 100%=4998.
4. We know, that x% equals 7.5 of the output value, so we can write it down as x%=7.5.
5. Now we have two simple equations:
1) 100%=4998
2) x%=7.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=4998/7.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.5 is what percent of 4998

100%/x%=4998/7.5
(100/x)*x=(4998/7.5)*x       - we multiply both sides of the equation by x
100=666.4*x       - we divide both sides of the equation by (666.4) to get x
100/666.4=x
0.1500600240096=x
x=0.1500600240096

now we have:
7.5 is 0.1500600240096% of 4998